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F1Tenth Motion Planning Algorithm: RRT*

This exercise is based on CMU 16663 - F1Tenth Course :: Lab 6.

Skeleton code is provided in the rrt_pkg. Use this package within your ROS2 workspace.

I. Learning Goals

Much of the learning goals in this exercise are the same as those in RRT exercise. On top of that, we urge you to push yourself and implement your own version of RRT*.

II. Overview

In the paper Sampling-based Algorithms for Optimal Motion Planning by Karaman, et al., pay close attention to Algorithm 6, as shown below.

RRT* Pseudocode

This is the pseudocode of RRT*. You can find details of the functions used by RRT* in the paper.

III. Implementation

On top of the basic version of RRT, RRT* uses a cost function, and rewiring the tree, to find a better path to the goal. When the tree has expanded infinite number of nodes, RRT*'s solution is close to optimal. The figure below shows the difference in the tree expanded and path found between RRT and RRT*. The skeleton code in rrt_pkg provided has sections for functions in RRT* as well.